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Finding the Fourth Proportional to 299,271.71, 448,911.52 and 99,592.13

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Solution

The fourth proportional to 299,271.71, 448,911.52 and 99,592.13 is: 149,389.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,271.71 : 448,911.52 = 99,592.13 : x
  2. Step 2: Convert to fraction form
    299,271.71/448,911.52 = 99,592.13/x
  3. Step 3: Cross multiply
    299,271.71x = 448,911.52 × 99,592.13
  4. Step 4: Simplify right side
    299,271.71x = 44,708,055,331.64
  5. Step 5: Solve for x
    x = 44,708,055,331.64/299,271.71
  6. Step 6: Final answer
    x = 149,389.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.